Finite Group Databasebeta

C2×#19143042 #25960041

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#19143042

Splittings

FittingC22×#131×C43 ⋊ C2
SylowC43 ⋊ C2×#2880

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC22×#131×C43C2
socleC23×C43C23×C4
prime radicalC22×#41×D43C2
cosocleC2×C4×C43C25
hypercenterC22×#131D43
hypocenterC43C2×#2880
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×#131

5206 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1780 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033012);